Converting 33.7764 to a Fraction
Step-by-step explanation of how to convert 33.7764 to a fraction

Result

33.7764 =
84441
2500
Mixed number:
33
1941
2500

Step 1: Identify the number of decimal places

The decimal 33.7764 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

33.7764 × 10000 = 337764

Step 3: Write as a fraction

33.7764 =

337764
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 337764 and 10000.

GCD(337764, 10000) = 4

Divide both the numerator and denominator by the GCD:

337764
10000

=

337764 ÷ 4
10000 ÷ 4

=

84441
2500
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